Ask questions and get helpful answers.

The surface areas of two similar solids are 416yd ^2 and 1,354yd ^2. The volume of the larger solid is 2,976 yd^3. What is the volume of the smaller solid?

2,976 yd ^3
2,619 yd ^3
914 yd ^3
507 yd ^2

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩

1 answer

  1. The areas of similar objects are proportional to the square of their sides
    so 416/1354 = x^2/y^2 , where x and y are corresponding sides , x as the smaller
    x^2/y^2 = 416/1354 = 208/677
    x/y = √208/√677

    the volumes of similar objects are proportional to the cubes of their corresponding sides
    x^3/y^3 = volume/2976
    (√208)^3 / (√677)^3 = volume/2976
    volume = appr 506.8 yds^3

    Your answer has yds^2, clearly a typo

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Answer this Question

Related Questions

Still need help?

You can ask a new question or browse existing questions.